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Finding the Third Proportional to 5,970,624 and 8,946,547

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Solution

The third proportional to 5,970,624 and 8,946,547 is: 13,405,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970,624 : 8,946,547 = 8,946,547 : x
  2. Step 2: Convert to fraction form
    5,970,624/8,946,547 = 8,946,547/x
  3. Step 3: Cross multiply
    5,970,624x = 8,946,547 × 8,946,547
  4. Step 4: Simplify right side
    5,970,624x = 80,040,703,223,209
  5. Step 5: Solve for x
    x = 80,040,703,223,209/5,970,624
  6. Step 6: Final answer
    x = 13,405,751.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.